Without Higgs field interaction, accurate pole mass values are obtained for the charged leptons and quarks from a Z3-symmetric linear superposition self-interference of the Dirac fields in the effective free-field Lagrangian. The charged lepton and quark pole masses evidence the discrete Z3 symmetry, the theoretical-experimental deviations δm/m are $$ \mathcal{O} $$(10−5) for all three charged leptons, and the quark pole masses are in very satisfactory overall agreement with the experimental data.
The original version of the article was published in Central European Journal of Physics 9, 45–48 (2011), DOI: 10.2478/s11534-010-0061-5. Unfortunately, due to an editorial processing error the original version of this article contains a mistake in Eq. (5). Here we display the corrected version of this equation.
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